Abstract.
Our aim consists of studying, in the spirit of Gamma convergence, a dimension reduction problem for a multi-domain filled of either an hyperelastic material or a non simple grade-two one. We derive asymptotically the limit energy density starting from a sample described trough non convex bulk energy densities, depending either on the first or second order derivative of the displacement.
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Gargiulo, G., Zappale, E. A remark on the junction in a thin multi-domain: the non convex case. Nonlinear differ. equ. appl. 14, 699–728 (2007). https://doi.org/10.1007/s00030-007-5046-8
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DOI: https://doi.org/10.1007/s00030-007-5046-8